SAT ACT. What is the value of a+b?

SAT ACT. In the xy-plane, the graph of a linear function of the form y=x and the graph of an exponential function of the form y=2 to the power of ax+b both contain points A and B. The feet of the perpendicular line from A and B to the x axis are C and D respectively. If AB=6 square root of 2 and the area of ACDB is 30, what is the value of a+b? #sat #act #digitalsat#Trigonometric functions #math#sine#cosine#tangent